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225640500 = 22353150427
BaseRepresentation
bin11010111001100…
…00000000110100
3120201120201120120
431130300000310
5430230444000
634220131540
75406625011
oct1534600064
9521521516
10225640500
11106406058
1263696bb0
1337993bb7
1421d78708
1514c216a0
hexd730034

225640500 has 48 divisors (see below), whose sum is σ = 657069504. Its totient is φ = 60170400.

The previous prime is 225640489. The next prime is 225640501. The reversal of 225640500 is 5046522.

225640500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225640501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73714 + ... + 76713.

It is an arithmetic number, because the mean of its divisors is an integer number (13688948).

Almost surely, 2225640500 is an apocalyptic number.

225640500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225640500 is an abundant number, since it is smaller than the sum of its proper divisors (431429004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225640500 is a wasteful number, since it uses less digits than its factorization.

225640500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150449 (or 150437 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 225640500 is about 15021.3348275045. The cubic root of 225640500 is about 608.7967861757.

The spelling of 225640500 in words is "two hundred twenty-five million, six hundred forty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1500 150427 300854 451281 601708 752135 902562 1504270 1805124 2256405 3008540 3760675 4512810 7521350 9025620 11282025 15042700 18803375 22564050 37606750 45128100 56410125 75213500 112820250 225640500